Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations

التفاصيل البيبلوغرافية
العنوان: Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations
المؤلفون: Bourg, Patrick, Leather, Benjamin, Casals, Marc, Pound, Adam, Wardell, Barry
سنة النشر: 2024
المجموعة: General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology
الوصف: Post-adiabatic models of extreme- and intermediate-mass-ratio inspirals will require calculations of second-order gravitational self-force effects in the spacetime of a spinning, Kerr black hole. We take a step toward such calculations by implementing the recently formulated Teukolsky puncture scheme with Green-Hollands-Zimmerman metric reconstruction [CQG 39, 015019 (2022)]. This scheme eliminates the critical obstacle of gauge singularities that arise in the standard no-string metric reconstruction. Our first proof-of-principle implementation is limited to the simple case of circular orbits in Schwarzschild spacetime, but the method also applies to generic orbits on a Kerr background. We conclude with a discussion of various approaches to the second-order self-force problem in Kerr.
Comment: 30 pages, 9 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.12634
رقم الأكسشن: edsarx.2403.12634
قاعدة البيانات: arXiv